Trigonometrymedium · Past Paper
Find the value of tan 75°.
A2 + √3
B2 - √3
C√3 + 1
D√3 - 1
✓ Correct Answer: A — 2 + √3
tan(45+30) = (tan 45 + tan 30) / (1 - tan 45 tan 30) = (1 + 1/√3) / (1 - 1/√3) = (√3+1)/(√3-1) = 2 + √3.
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✓ Correct Answer: A — 2 + √3
tan(45+30) = (tan 45 + tan 30) / (1 - tan 45 tan 30) = (1 + 1/√3) / (1 - 1/√3) = (√3+1)/(√3-1) = 2 + √3.
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